" It Amazes me." This as song for all men who are surprised that any attractive woman would find them worthy of attention or even long term relationships. AS Tony Bennett admits in this Cy Coleman song, he is humbled by the fact that a woman could like him, something for which he is most grateful. Since humility is not always a trait belonging to all men ( including myself) the song can serve as a reminder for us to be grateful for the women who bless our own lives
PS It took me 82 years to learn this.

https://youtu.be/6Jf0gEq0YWY